Title: Mathematics 4362, week4 keplers equation
1Mathematics 4362, week4 keplers equation
2Kepler's Second Law
3Area Swept out by an Elliptical Arc
4Area Swept out by an Elliptical Arc (cont'd)
5Area Swept out by an Elliptical Arc (concluded)
6Graphical Solution
7Graphical Solution ofThe Area Integral
8True and Eccentric Anomaly
9True and Eccentric Anomaly (cont'd)
10True and Eccentric Anomaly (cont'd)
11True and Eccentric Anomaly (cont'd)
12True and Eccentric Anomaly (cont'd)
13True and Eccentric Anomaly (cont'd)
14True and Eccentric Anomaly (cont'd)
15True and Eccentric Anomaly (cont'd)
16True and Eccentric Anomaly (cont'd)
17True and Eccentric Anomaly (cont'd)
18True and Eccentric Anomaly (cont'd)
19True and Eccentric Anomaly (cont'd)
20True and Eccentric Anomaly (cont'd)
21True and Eccentric Anomaly (concluded))
22Relationship of EccentricAnomaly to the Elliptic
Area Integral
23Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
24Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
25Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
26Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
27Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
28Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
29Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
30Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
31Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
32Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
33Relationship of EccentricAnomaly to the Elliptic
Area Integral(cont'd)
34AND FINALLY ... (WHEW!) KEPLER'S EQUATION
35Using Mean Anomaly toPropogate the Orbital
Position
36Using Mean Anomaly toPropogate the Orbital
Position(cont'd)
37Using Mean Anomaly toPropogate the Orbital
Position
38Using Mean Anomaly toPropogate the Orbital
Position(concluded)
39The Propogation Algorithm
40The Propogation Algorithm(continued)
41The Propogation Algorithm(continued)
42The Propogation Algorithm(continued)
43The Propogation Algorithm(concluded)